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Finding the Fourth Proportional to 13,194.93, 18,209.04 and 7,145.24

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Solution

The fourth proportional to 13,194.93, 18,209.04 and 7,145.24 is: 9,860.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.93 : 18,209.04 = 7,145.24 : x
  2. Step 2: Convert to fraction form
    13,194.93/18,209.04 = 7,145.24/x
  3. Step 3: Cross multiply
    13,194.93x = 18,209.04 × 7,145.24
  4. Step 4: Simplify right side
    13,194.93x = 130,107,945.56
  5. Step 5: Solve for x
    x = 130,107,945.56/13,194.93
  6. Step 6: Final answer
    x = 9,860.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.